Mazzarri replaced Andrea Stramaccioni, bringing new tactics and training methods to the side.
"I really like the way he works, as he is a Coach with great experience, clear ideas and focuses on dialogue with his players. He pushes hard to motivate us," said Palacio.
"His Napoli played with great intensity, work-rate and attacking football, which is the ideal for a striker. In all honesty, I've never worked so hard in pre-season training!
"It was a shame to lose Stramaccioni, as I had a good rapport with him. Unfortunately, when the results don't come, the Coach usually pays the price. Now we must all be sure not to repeat the same mistakes.
"I remain certain joining Inter was the right decision and I'm sure I can win here. A club can go through a period of one or two years without success, but this is a great club and you'll see we will get back to great results.
"I hope Diego Milito can be back in action soon, as he's been doing very well in training. As for the new buys, Ishak Belfodil has excellent technique and dribbling skills, while Mauro Icardi is very strong in the air and with his movement."